Atkin-Lehner |
3+ 5+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
8385b |
Isogeny class |
Conductor |
8385 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
7289994842325 = 38 · 52 · 13 · 434 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 0 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-4853,-9972] |
[a1,a2,a3,a4,a6] |
j |
12644288794709209/7289994842325 |
j-invariant |
L |
1.2467617320031 |
L(r)(E,1)/r! |
Ω |
0.62338086600153 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25155m3 41925k3 109005f3 |
Quadratic twists by: -3 5 13 |